How to Find GCF of 823/770, 8370/685?

GCF of 823/770, 8370/685

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 823/770, 8370/685 i.e 1/105490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 823/770, 8370/685.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 823/770,8370/685?

Given fractions are 823/770,8370/685

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 823/770,8370/685, numerators are 823,8370

Denominators are 770,685

The GCF of 823,8370 is 1 .

LCM of 770,685 is 105490.

The greatest common factor of 823/770,8370/685 = [GCF of 823,8370]/[LCM of 770,685]= 1/105490

Therefore, the GCF of 823/770,8370/685 is 1/105490.

Greatest Common Factor of 823,8370

To find the highest common factor of 823,8370, we have to find the factors of both numbers and list the highest common factor.

The factors of 823 are 1, 823

The factors of 8370 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 31, 45, 54, 62, 90, 93, 135, 155, 186, 270, 279, 310, 465, 558, 837, 930, 1395, 1674, 2790, 4185, 8370

The HCF of 823,8370 is 1.

Lets's calculate GCF of 823,8370

Greatest Common Factor (GCF) of 823,8370 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 823,8370 By Matching Biggest Common Factor Method

Now, list down the factors of 823

1,823

Now, list down the factors of 8370

1,2,3,5,6,9,10,15,18,27,30,31,45,54,62,90,93,135,155,186,270,279,310,465,558,837,930,1395,1674,2790,4185,8370

Greatest Common Factor

We found the factors 823,8370 . The biggest common factor number is the GCF number.
So the greatest common factor 823,8370 is 1.

Lets's calculate LCM of 770,685

Lowest Common Multiple of 770,685 using Common Division

5	770, 685
	154, 137

∴ So the LCM of the given numbers is 5 x 154 x 137 = 105490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105490

Therefore, the GCF of Fractions 823/770,8370/685 is 1/105490

Least Common Multiple of 770,685 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 770,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(770,685) = 5

common factors(in case of two or more numbers have common factors) = 1

GCF(770,685) x common factors =5 x 1 = 5

LCM(770,685) = ( 770 × 685 ) / 5

LCM(770,685) = 527450 / 5

LCM(770,685) = 105490

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 823/770, 8370/685

1. What is the HCF of 823,8370?

The HCF of 823,8370 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 823/770, 8370/685?

Answer: GCF of Numerators as per given numbers 823/770, 8370/685 is

GCF of Numerators i.e. for 823,8370 is 1

LCM of denominators i.e. for 770,685 is 105490.

Thus, GCF of Fractions is 1/105490.Finally, GCF of Fractions for 823/770, 8370/685 is 1/105490.